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相关论文: Quasi-equilibrium in glassy dynamics: a liquid the…

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In this paper we review a recent proposal to understand the long time limit of glassy dynamics in terms of an appropriate Markov Chain. [1]. The advantages of the resulting construction are many. The first one is that it gives a quasi…

无序系统与神经网络 · 物理学 2016-04-19 Silvio Franz , Giorgio Parisi , Federico Ricci-Tersenghi , Pierfrancesco Urbani

We study a chain of identical glassy systems in a constrained equilibrium where each bond of the chain is forced to remain at a preassigned distance to the previous one. We apply this description to Mean Field Glassy systems in the limit of…

统计力学 · 物理学 2016-03-08 Silvio Franz , Giorgio Parisi

The complex behavior of confined fluids arising due to a competition between layering and local packing can be disentangled by considering quasi-confined liquids, where periodic boundary conditions along the confining direction restore…

软凝聚态物质 · 物理学 2020-09-03 Lukas Schrack , Charlotte F. Petersen , Gerhard Jung , Michele Caraglio , Thomas Franosch

By means of an effective potential associated to a constrained equilibrium measure and apt to study frozen systems, we investigate glassy freezing in simple liquids in the hypernetted chain (HNC) approximation. Differently from other…

统计力学 · 物理学 2009-10-31 Miguel Cardenas , Silvio Franz , Giorgio Parisi

We present mode-coupling equations for the description of the slow dynamics observed in supercooled molecular liquids close to the glass transition. The mode-coupling theory (MCT) originally formulated to study the slow relaxation in simple…

软凝聚态物质 · 物理学 2009-10-31 L. Fabbian , A. Latz , R. Schilling , F. Sciortino , P. Tartaglia , C. Theis

We study the glassy transition for simple liquids in the hypernetted chain (HNC) approximation by means of an effective potential recently introduced. Integrating the HNC equations for hard spheres, we find a transition scenario analogous…

统计力学 · 物理学 2009-10-30 Miguel Cardenas , Silvio Franz , Giorgio Parisi

We combine the hyper-netted chain approximation of liquid state theory with the mode-coupling theory of the glass transition to analyze the structure and dynamics of soft spheres interacting via harmonic repulsion. We determine the locus of…

统计力学 · 物理学 2010-03-29 Ludovic Berthier , Elijah Flenner , Hugo Jacquin , Grzegorz Szamel

We discuss the glassy dynamics recently found in the meta-equilibrium quasi stationary states (QSS) of the HMF model. The relevance of the initial conditions and the connection with Tsallis nonextensive thermostatistics is also addressed.

统计力学 · 物理学 2009-11-10 Alessandro Pluchino , Vito Latora , Andrea Rapisarda

Generalized mode-coupling theory (GMCT) constitutes a systematically correctable, first-principles theory to study the dynamics of supercooled liquids and the glass transition. It is a hierarchical framework that, through the incorporation…

统计力学 · 物理学 2021-02-03 Chengjie Luo , Liesbeth M. C. Janssen

For over 30 years, mode-coupling theory (MCT) has been the de facto theoretic description of dense fluids and the liquid-glass transition. MCT, however, is limited by its ad hoc construction and lacks a mechanism to institute corrections.…

软凝聚态物质 · 物理学 2015-08-12 David D. McCowan

The mode-coupling theory of the glass transition treats the dynamics of supercooled liquids in terms of two-point density correlation functions. Here we consider a generalized, hierarchical formulation of schematic mode-coupling equations…

统计力学 · 物理学 2014-11-27 Liesbeth M. C. Janssen , Peter Mayer , David R. Reichman

We review an scenario for the non-equilibrium dynamics of glassy systems that has been motivated by the exact solution of simple models. This approach allows one to set on firmer grounds well-known phenomenological theories. The old ideas…

统计力学 · 物理学 2009-11-07 Leticia F. Cugliandolo

We use a simple mode-coupling approach to investigate glassy dynamics of partially pinned fluid systems. Our approach is different from the mode-coupling theory developed by Krakoviack [Phys. Rev. Lett. 94, 065703 (2005), Phys. Rev. E 84,…

无序系统与神经网络 · 物理学 2015-06-04 Grzegorz Szamel , Elijah Flenner

We show that the replica approach to glassy dynamics provides, in spite of its static nature, a characterization of critical dynamics in the $\beta$-regime of super-cooled liquids that is equivalent to the one of Mode-Coupling-Theory, both…

无序系统与神经网络 · 物理学 2013-02-25 Tommaso Rizzo

Sticky hard spheres, i.e., hard particles decorated with a short-ranged attractive interaction potential, constitute a relatively simple model with highly non-trivial glassy dynamics. The mode-coupling theory of the glass transition (MCT)…

软凝聚态物质 · 物理学 2021-08-26 Chengjie Luo , Liesbeth M. C. Janssen

We discuss the general link between mode-coupling like equations (which serve as the basis of some recent theories of supercooled liquids) and the dynamical equations governing mean-field spin-glass models, or the dynamics of a particle in…

凝聚态物理 · 物理学 2015-06-25 Jean-Philippe Bouchaud , Leticia Cugliandolo , Jorge Kurchan , Marc Mézard

A relation between equilibrium, steady-state, and waiting-time dependent dynamical two-time correlation functions in dense glass-forming liquids subject to homogeneous steady shear flow is discussed. The systems under study show pronounced…

软凝聚态物质 · 物理学 2015-05-18 Matthias Krüger , Fabian Weysser , Thomas Voigtmann

We present an extensive treatment of the generalized mode-coupling theory (GMCT) of the glass transition, which seeks to describe the dynamics of glass-forming liquids using only static structural information as input. This theory amounts…

统计力学 · 物理学 2016-07-05 Liesbeth M. C. Janssen , Peter Mayer , David R. Reichman

The quasi-chemical organization of the potential distribution theorem -- molecular quasi-chemical theory (QCT) -- enables practical calculations and also provides a conceptual framework for molecular hydration phenomena. QCT can be viewed…

化学物理 · 物理学 2021-05-14 Dilipkumar N. Asthagiri , Michael E. Paulaitis , Lawrence R. Pratt

These lecture notes can be read in two ways. The first two Sections contain a review of the phenomenology of several physical systems with slow nonequilibrium dynamics. In the Conclusions we summarize the scenario derived from the solution…

凝聚态物理 · 物理学 2007-05-23 Leticia F. Cugliandolo
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